An aneurysm is an abnormal enlargement of a blood vessel such as the aorta. Beca

Question

An aneurysm is an abnormal enlargement of a blood vessel such as the aorta. Because of an aneurysm, the cross-sectional area A1 of the aorta increases to a value of A2 = 1.7 A1. The speed of the blood (? = 1060 kg/m3) through a normal portion of the aorta is v1 = 0.40 m/s. Assuming that the aorta is horizontal (the person is lying down), determine the amount by which the pressure P2 in the enlarged region exceeds the pressure P1 in the normal region.

Explanation / Answer

According to equation of continuity we have A1 v1 = A2 v2 ==> v2 = A1 v1 / A2 = A1 * 0.40 / 1.7 A1 = 0.239 m/s Therefore P2 - P1 = 0.5 p (v1^2 - v2^2) = 0.5 * 1060 * (0.40^2 - 0.239^2) = 55 Pa

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